Continuum mechanics

• Understanding structure and bases of continuum mechanics;

• Ability to understand and solve a spectra of practical problems;

• Incitement of the students for more detailed study of the presented bases.

Mechanics
Energy conservation laws
Multivariable Calculus

i) Introduction to tensors

ii) Theory of elasticity. Kinematics of a continuum, strain tensor, stress tensor, contact forces, Cauchy equations. Hooke law, Isotropic linearly elastic solid, Navier's Equations, elastic theory of crystals.
Applications to plates and rods. Elastic waves.

iii) Fluid dynamics. Continuity equation, Euler equation, Reynolds transport theorem, hydrostatics, convection; flow lines, Bernoulli equation; circulation, Kelvin theorem; Compressible and incompressible fluids, potential flow of an incompressible fluid, d'Alambert paradox; Newtonian Fluids. Navier-Stokes equations. Viscous fluids.
Reynolds number. Prandtl theory. Hydrodynamic instabilities. Turbulence.

Students will learn:

• Knowledge and understanding of the basis of continuum mechanics;

• Capacity to use the knowledge in a number of scientific and technological problems;

• Fexibility and rapid adaptation at solving a spectra of continuum mechanics problems;

• Knowledge and experiences will be beneficial in many scientific and technological problems.

• L.D. Landau, E.M. Lifshitz, Theory of Elasticity, Pergamon Press, New York, 1986. E-version
• L.D. Landau, E.M. Lifshitz, Fluid mechanics, Pergamon Press, New York, 1989. E-version
• W.M. Lai, D. Rubin, E. Krempl, Introduction to Continuum Mechanics, Fourth edition, Butterworth-Heinemann, Wiley, 2010. Catalogue
• J. H. Spurk, Fluid Mechanics: Problems and Solutions, Springer, Berlin, 1997. E-version

• written tests, writen exam
• oral exam

Dr. Luigi Giacomazzi je docent za področje fizike na Univerzi v Novi Gorici.Dr. Luigi Giacomazzi is Assistant professor of physics at the University of Nova Gorica.
Izbrane objave / selected publications:
1. GIACOMAZZI, Luigi, TOIGO, Flavio, ANCILOTTO, Francesco, Dynamics of liquid 4He in confined geometries from time-dependent density functional, Physical Review B, Condensed matter and materials physics. ISSN 1098-0121, 2003, Vol. 67, no. 10, str. 104501-1-104501-10,
doi:10.1103/PhysRevB.67.104501 [COBISS.SI-ID 5246971]
2. GIACOMAZZI, Luigi, CARREZ, P., SCANDOLO, Sandro, CORDIER, P., Dislocation
properties of coesite from an ab-initio parametrized interatomic potential, Physical Review B, Condensed matter and materials physics. ISSN 1098-0121, 2011, Vol. 83, no. 1, str. 014110-1-
014110-9, doi: 10.1103/PhysRevB.83.014110 [COBISS.SI-ID 5244923]
3. GIACOMAZZI, Luigi, SCANDOLO, Sandro, Gypsum under pressure: A first-principles study, Physical Review B, Condensed matter and materials physics. ISSN 1098-0121, 2010, Vol. 81, no. 6, str. 064103-1-064103-10, doi: 10.1103/PhysRevB.81.064103 [COBISS.SI-ID 5244411]
4. GIACOMAZZI, Luigi, UMARI, P., PASQUARELLO, Alfredo, Medium-range structural properties of vitreous germania obtained through first-principles analysis of vibrational spectra, Physical review letters. ISSN 0031-9007, 2005, Vol. 95, iss. 7, str. 075505-1-075505-4, doi:
10.1103/PhysRevLett.95.075505 [COBISS.SI-ID 5238011]